On the morning of November 8, Chinese-American mathematician and professor of the Department of Mathematics at the University of California, Santa Barbara, USA, made an academic report on the "Landorcelain Zero Point Conjecture" at an event held by Peking University School of Mathematics Sciences and Beijing International Mathematics Research Center . The "Landau Siegel Zero Point Conjecture" is related to the famous unsolved problem in mathematics " Riemann Conjecture ", and the report also attracted widespread public attention.
The picture shows Zhang Yitang's academic report live online page. Live online screenshot
said that it essentially proves that the "Landorth Siegel Zero Point Conjecture"
"Landorth Siegel Zero Point" is defined as a counterexample of the generalized Riemann conjecture. The assertion that "Landorcelain Zero Point" does not exist is called the Landorcelain Zero Point conjecture. On November 7, Zhang Yitang's new paper "Discrete mean estimates and the Landau-Siegel zero" was officially launched on the preprint website Arxiv, which is 111 pages long.
"When the paper was just posted online a few days ago, many people didn't understand it, thinking that this was the solution of the Landau Siegel zero-point problem, and some even thought that it was proved that Riemann hypothesis was wrong. Let me say it again, I don't have this ability, I just partially solved the Riemann hypothesis in a certain range. If I overturned the Riemann hypothesis, no one would believe it." Before starting the explanation of the proof process, Zhang Yitang emphasized this point specifically. During the live broadcast of
, Zhang Yitang used two whiteboards to explain his basic ideas and proof process. "I spent a long time looking for these functions and found something interesting." When talking about the process of solving it myself, Zhang Yitang said with a smile. He said that in essence, the Landau Siegel zero-point conjecture has been proved, which means that the proof-related index of the Landau Siegel zero-point conjecture has been achieved "2024". If 2024 is replaced with 1, the original form of the Landau Siegel zero-point conjecture will be obtained. Although 2024 is greater than 1, there is no substantial difference from 1 in mathematical sense. "How much can the index 2024 be improved? I think it can get at least a few hundred. But get 1? My method is still not enough." Zhang Yitang also called himself "lucky" in the live broadcast.
paper still needs to be modified, supplemented and simplified
In May 2013, Zhang Yitang made breakthrough progress in the research on twin primes , which attracted the attention of the mathematics community and even the public. In this academic report on the Zero Point Conjecture, the online interactive session was also mentioned by netizens about Zhang Yitang's previous achievements in the field of prime numbers.
Regarding the question of "Will the pixel number theorem be so difficult to go over the past like this pixel number theorem?" Zhang Yitang laughed and said that this research was more difficult, but he emphasized that "in number theory , nothing is definitely impossible." "It can be said that it's like looking for an needle in a haystack. I didn't get it, but I figured out the landform of the seabed. I found that I could achieve it without this needle. I felt that nothing was impossible." Zhang Yitang also said that this paper would need to be modified, supplemented and simplified.
"The papers currently posted online are only preprints and have not been officially published yet, which means that Zhang Yitang's article has not been peer reviewed yet. Especially such long articles with more than 100 pages, right and wrong remains to be tested." A number theory scholar told the reporter of Beijing News that it is not suitable to make official comments at present.
Why does this research receive such high attention? A doctoral student in mathematics believes that the generalized Riemann conjecture is the basis of modern calculus. If Zhang Yitang's proof is correct, it will be complete. "There are many conjectures and assumptions that seem to be valid in mathematics that have not been proved. The research results of this number theory may be infinitely close proof. Whether it is right or wrong, this paper takes a long time to study. A small step in proofing is a big step in the subject."
Beijing News reporter Liu Yang
Editor Miao Chenxia Proofreading Liu Baoqing
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